A Correlator Formula for Quantum Sheaf Cohomology

Abstract

For a class of monadic deformations of the tangent bundles over nef-Fano smooth projective toric varieties, we study the correlators using quantum sheaf cohomology. We prove a summation formula for the correlators, confirming a conjecture by McOrist and Melnikov in physics literature. This generalizes the Szenes-Vergne proof of Toric Residue Mirror Conjecture for hypersurfaces.

23 pages, comments welcome

References in corpus (1)

• The Revival of (0,2) Linear Sigma Models

Cited by in corpus (3)

• Quantum sheaf cohomology on Grassmannians
• A proposal for (0,2) mirrors of toric varieties
• Classical sheaf cohomology rings on Grassmannians